Yes...it rings a few esoteric bells !
IMO the problem with "intuitive self" is similar to that of "higher state of consciousness" or a Buddhist "escape from samsara
". That issue is whether such a state is merely reducible to "brain chemistry"(because drugs certainly have similar effects}, or whether such states are "tapping into" some fundamental substrate which has been termed "holistic consciousness" or similar.
That "issue" illustrates the dichotomy proposed by the OP, but there is a third course of analysis involving the role of language in "thought", and the fact that language is rooted in social
dynamics. From that point of view both "mind" and "brain" are merely descriptive sub-systems nested within a larger dynamic system of "social interaction" (perhaps like the inter-cohesion of an insect colony). Consideration of this non-dichotomous position should minimally make us cautious about making firm statements about "intuition",